Search a number
-
+
111002202022010 = 25132921099314633
BaseRepresentation
bin11001001111010010110110…
…110100100010000001111010
3112120000201002022110111220212
4121033102312310202001322
5104022130002204201020
61032025412503151122
732244434021246045
oct3117226664420172
9476021068414825
10111002202022010
1132406851246892
1210548b78a454a2
1349c2602828ab0
141d5a76c9cdc5c
15cc764e444cc5
hex64f4b6d2207a

111002202022010 has 96 divisors (see below), whose sum is σ = 224893641052080. Its totient is φ = 39209086457856.

The previous prime is 111002202021983. The next prime is 111002202022027. The reversal of 111002202022010 is 10220202200111.

111002202022010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 10745657695249 + 100256544326761 = 3278057^2 + 10012819^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7259654 + ... + 16574286.

Almost surely, 2111002202022010 is an apocalyptic number.

111002202022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111002202022010 is an abundant number, since it is smaller than the sum of its proper divisors (113891439030070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111002202022010 is a wasteful number, since it uses less digits than its factorization.

111002202022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314820 (or 9314791 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 111002202022010 its reverse (10220202200111), we get a palindrome (121222404222121).

The spelling of 111002202022010 in words is "one hundred eleven trillion, two billion, two hundred two million, twenty-two thousand, ten".

Divisors: 1 2 5 10 13 26 29 58 65 109 130 145 218 290 377 545 754 841 1090 1417 1682 1885 2834 3161 3770 4205 6322 7085 8410 10933 14170 15805 21866 31610 41093 54665 82186 91669 109330 183338 205465 410930 458345 916690 1191697 2383394 5958485 9314633 11916970 18629266 46573165 93146330 121090229 242180458 270124357 540248714 605451145 1015294997 1210902290 1350621785 2030589994 2701243570 3511616641 5076474985 7023233282 7833606353 10152949970 13198834961 15667212706 17558083205 26397669922 29443554913 35116166410 39168031765 58887109826 65994174805 78336063530 101836882589 131988349610 147217774565 203673765178 294435549130 382766213869 509184412945 765532427738 853863092477 1018368825890 1707726184954 1913831069345 3827662138690 4269315462385 8538630924770 11100220202201 22200440404402 55501101011005 111002202022010